A physical phenomenon may be called emergent if it is a non-obvious consequence of the assumptions of a physical theory revealed by symbolic or digital computation, and can then be seen to be a consequence of theory + computation, where computation in adds essentially new theory.
A key example is turbulence which is an emergent aspect of solutions of Euler's equations for incompressible inviscid fluid flow computed as best possible in a specific sense specified in the book Computational Turbulent Incompressible Flow.
Let us ask:
- Does chemistry as science of molecules composed of atoms, emerge from quantum physics as science of atoms?
Assume first that quantum physics is textbook Standard Quantum Mechanics StdQM. A physicists in the foot steps of Dirac will say that chemistry is applied quantum physics and so that
- Chemistry emerges from StdQM, in principle. (1)
A chemist will object and say that
- Chemical bonding as essence of chemistry does not emerge from StdQM. (2)
- Chemistry and chemical bonding emerges from RealQM. (3)

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